Abstract
In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two Abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended Supersymmetric version of this system, that also generates a Higgs portal type of interaction. We obtain and study both analytically and numerically, the equations defining topologically stable string-like objects. We check our results using two different approaches. Various technical details are explicitly stated for the benefit of various readers.
Highlights
In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios
An accurate description of the low energy dynamics of our system consists of two coupled Abelian Higgs Models
The paper is organized as follows: in section 2 we present the N = 2 supersymmetric extension of a (2+1) dimensional theory in which two Abelian Higgs models are coupled through a gauge kinetic mixing, showing how a Higgs portal interaction necessarily arises
Summary
We use the standard chiral hypermultiplet representation Φ for the matter fields It contains one complex scalar s and one full Dirac spinor i.e. two independent Majorana spinors written as one complex spinor ψ, along with a complex auxiliary F-term. In three dimension there exists an extra representation called the linear multiplet Σ = DDU which is real and obeys D2Σ = D2Σ = 0 This field proves to be more convenient for component definitions as it contains all the degrees of freedom at once. A second multiplet to describe the ‘hidden’ sector, the analogous to Σ, will be called Υ with bosonic fields Cμ, N , auxiliary field d and fermions τ = ζ + iω With these definitions, we can write the superspace action for our model; SN =2 =. Let us discuss the form of the scalar potential derived from the auxiliary fields
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